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Finding the Fourth Proportional to 289.24, 398.44 and 242.56

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Solution

The fourth proportional to 289.24, 398.44 and 242.56 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.24 : 398.44 = 242.56 : x
  2. Step 2: Convert to fraction form
    289.24/398.44 = 242.56/x
  3. Step 3: Cross multiply
    289.24x = 398.44 × 242.56
  4. Step 4: Simplify right side
    289.24x = 96,645.61
  5. Step 5: Solve for x
    x = 96,645.61/289.24
  6. Step 6: Final answer
    x = 334.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.